In this project we illustrate the design of a proportional-integral-derivative (PID) cruise control algorithm for an automobile. PID control is one of the most common techniques in control engineering. Many physical systems are well-modeled by ordinary differential equations (ODEs) and it is frequently the case that the goal of such a model is to facilitate control of the relevant physical system, in order to steer the system to some desired behavior. A good example is the cruise control found i…